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Geo AC Unit 3 Review

Total questions: 40

Worksheet time: 10hrs 0mins

Name
Class
Date
1.
solve for x
a)
10
b)
12
c)
14
d)
16
2.
solve for x
a)
15
b)
16
c)
17
d)
18
3.
solve for x
a)
100
b)
110
c)
120
d)
130
4.
Are the triangles similar?
a)
Yes
b)
No
5.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
6.

?a=ac\frac{?}{a}=\frac{a}{c}  

a)

c+d

b)

d

c)

c

d)

e

7.

What is the proper ratio used to find x?

a)

9x=69\frac{9}{x}=\frac{6}{9}  

b)

69=x6\frac{6}{9}=\frac{x}{6}  

c)

x6= 9x\frac{x}{6}=\ \frac{9}{x}  

8.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
9.

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.

a)

adjacent; equal

b)

complementary; scalene

c)

congruent; similar

d)

supplementary; isosceles

10.

The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.

a)

proportional; similar

b)

similar, proportional

c)

congruent; congruent

d)

equal; equilateral

11.

The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.

a)

adjacent; intersect

b)

complementary; form

c)

adjacent; create

d)

proportional; included

12.

State the postulate that proves these triangles are similar.

a)

SSS~

b)

SAS~

c)

AA~

d)

Not similar

13.

State the postulate that proves these triangles are similar.

a)

AA~

b)

SAS~

c)

SSS~

d)

Not Similar

14.
Determine the relationship between the triangles.
a)
AA∼
b)
SAS∼
c)
SAA∼
d)
Not necessarily
similar
15.
Determine the relationship between the triangles.
a)
SSS∼
b)
SAS∼
c)
AA∼
d)
Not similar
16.

When the scale factor of a dilation is less than one, the dilation is a reduction.

a)

True

b)

False

17.

If your SF = 65\frac{6}{5}  , what type of dilation is it?

a)

Reduction

b)

Enlargement

18.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
19.
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.
a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
20.
Enlargement or reduction?  Find the scale factor!
a)
It's an enlargement; the scale factor is 1/2.
b)
It's an enlargement; the scale factor is 2.
c)
It's a reduction; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 2.
21.

The point A (8, 12) was dilated using the origin as the center to become point A' (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

22.

Which figure is a scaled copy/ dilation of Shape A?

a)

Shape B

b)

Shape C

c)

Shape D

23.

Find the missing length indicated.

a)

45

b)

28

c)

7

d)

30

24.

Solve for x.

a)

9

b)

8

c)

5

d)

7

25.

Solve for x.

a)

4

b)

9

c)

3

d)

7

26.

Where is A'?

a)

(3,-1)

b)

(-1,3)

c)

(3,2)

d)

(8,12)

27.

Where is B'?

a)

(7,-1)

b)

(-1,7)

c)

(3,2)

d)

(8,12)

28.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
29.

Where will A' be?

a)

(-3,-6)

b)

(-3,-5)

c)

(-6,-3)

d)

(-4,-4)

30.

Where will C' be?

a)

(-3,-4)

b)

(-3,-5)

c)

(-4,-3)

d)

(-4,-4)

31.

Select the FALSE statement about dilations

a)

Connecting corresponding points with the center will always make a straight line

b)

Dilations always change the size of an image

c)

Dilations multiply all side lengths by the same value

d)

Dilations multiply all distances from the center of dilation by the same value

32.

EB = ___

a)

5

b)

7.5

c)

30

d)

9

33.

AC= ___

a)

15

b)

22

c)

24

d)

25

34.

Where is B'?

a)

(5,4)

b)

(4,5)

c)

(0,4)

d)

(6,4)

35.

Where is C'?

a)

(5,7)

b)

(7,5)

c)

(5,5)

d)

(7,7)

36.

Where is A'?

a)

(-1,1)

b)

(1,-1)

c)

(-1,-1)

d)

(1,1)

37.

Where is C'?

a)

(-2,2)

b)

(2,-2)

c)

(-2,-2)

d)

(2,2)

38.

Select the false statement

a)

All circles are similar

b)

All squares are similar

c)

All equilateral triangles are similar

d)

All rectangles are similar

39.

Select the false proportion

a)

OD/OD' = OE/OE'

b)

D'F'/DF=D'E'/DE

c)

EE'/E'O=DD'/DO

d)

FE/DE=F'E'/D'E'

40.

This scale factor would be the most reasonable for the diagram shown

a)

4/9

b)

9/4

c)

19/20

d)

2/31

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